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Traces and Determinants of Pseudodifferential Operators

Simon Scott

Published in print:
2010
Published Online:
January 2011
ISBN:
9780198568360
eISBN:
9780191594748
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198568360.001.0001
Subject:
Mathematics, Analysis

This text provides a broad account of the theory of traces and determinants on geometric algebras of differential and pseudodifferential operators over compact manifolds. Trace and determinant ... More


Clustering of Disadvantage and Empirical Research

Jonathan Wolff and Avner De-Shalit

in Disadvantage

Published in print:
2007
Published Online:
May 2007
ISBN:
9780199278268
eISBN:
9780191707902
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199278268.003.0008
Subject:
Political Science, Political Theory

The previous chapters demonstrated that the issue of identifying the least advantaged reduces to the question of whether clustering of disadvantage can be identified among the ‘high-weight ... More


Determinants

Simon Scott

in Traces and Determinants of Pseudodifferential Operators

Published in print:
2010
Published Online:
January 2011
ISBN:
9780198568360
eISBN:
9780191594748
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198568360.003.0003
Subject:
Mathematics, Analysis

Determinants as abstract invariants have received less study in the mathematical literature than traces, on which there is an extensive literature. However, determinants can be treated in a general ... More


Referential Function (II)

Maximilian de Gaynesford

in I: The Meaning of the First Person Term

Published in print:
2006
Published Online:
May 2006
ISBN:
9780199287826
eISBN:
9780191603570
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/0199287821.003.0010
Subject:
Philosophy, Philosophy of Language

I fulfils its referential function in the deictic mode. Deictic terms fulfil their referential role by the action of making an individual salient. That is the genus to which ... More


Working Classes Map the City

Ira Katznelson

in Marxism and the City

Published in print:
1993
Published Online:
January 2005
ISBN:
9780198279242
eISBN:
9780191601910
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/0198279248.003.0006
Subject:
Political Science, Political Theory

For Marxism, the main issues of social theory within the industrial phase of capitalism focus on the formation of working classes, and this subject is best treated, in significant measure, as an ... More


Computations, Transition Formulae, and the Local Index Formula

Simon Scott

in Traces and Determinants of Pseudodifferential Operators

Published in print:
2010
Published Online:
January 2011
ISBN:
9780198568360
eISBN:
9780191594748
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198568360.003.0004
Subject:
Mathematics, Analysis

In this chapter the constructions of chapters 1 and 2 for are illustrated with explicit computations. The first part of the chapter presents various methods of computation commonly used in the ... More


Pseudodifferential Operator Trace Formulae

Simon Scott

in Traces and Determinants of Pseudodifferential Operators

Published in print:
2010
Published Online:
January 2011
ISBN:
9780198568360
eISBN:
9780191594748
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198568360.003.0005
Subject:
Mathematics, Analysis

In this chapter details of the construction of the fundamental trace functionals on pseudodifferential operators are given. The approach to traces taken here is through an analysis of the singularity ... More


Geometric Families of Pseudodifferential Operators and Determinant Line Bundles

Simon Scott

in Traces and Determinants of Pseudodifferential Operators

Published in print:
2010
Published Online:
January 2011
ISBN:
9780198568360
eISBN:
9780191594748
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198568360.003.0006
Subject:
Mathematics, Analysis

The final chapter focuses on applications of trace and determinant structures to geometric families of pseudodifferential operators. This is closely entwined with developments in QFT and string ... More


INTIAL BOUNDARY VALUE PROBLEM IN A HALF-SPACE WITH CONSTANT COEEFICIENTS

Sylvie Benzoni-Gavage and Denis Serre

in Multi-dimensional hyperbolic partial differential equations: First-order systems and applications

Published in print:
2006
Published Online:
September 2007
ISBN:
9780199211234
eISBN:
9780191705700
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199211234.003.0004
Subject:
Mathematics, Applied Mathematics

This chapter drops the assumption of symmetry, or at least it does not assume the dissipativity in a classical sense. The search for a necessary condition for maximal estimates (strong well-posedness ... More


Constructions: Descriptive Factors

Ronald W. Langacker

in Cognitive Grammar: A Basic Introduction

Published in print:
2008
Published Online:
May 2008
ISBN:
9780195331967
eISBN:
9780199868209
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780195331967.003.0007
Subject:
Linguistics, Syntax and Morphology

Constructions are characterized in terms of four basic factors: correspondences, profiling, elaboration, and constituency. Correspondences are the basis for semantic and grammatical integration; they ... More


BOUNDARY CONDITIONS FOR EULER EQUATIONS

Sylvie Benzoni-Gavage and Denis Serre

in Multi-dimensional hyperbolic partial differential equations: First-order systems and applications

Published in print:
2006
Published Online:
September 2007
ISBN:
9780199211234
eISBN:
9780191705700
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199211234.003.0014
Subject:
Mathematics, Applied Mathematics

The nature of an IBVP for a gas depends on the sign of the normal velocity, and on the sub- and super-sonicity. This chapter proceeds to a classification, describing which boundary conditions are ... More


Understanding Polynomial Equations in <i>n</i> Unknowns

Victor J. Katz and Karen Hunger Parshall

in Taming the Unknown: A History of Algebra from Antiquity to the Early Twentieth Century

Published in print:
2014
Published Online:
October 2017
ISBN:
9780691149059
eISBN:
9781400850525
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691149059.003.0012
Subject:
Mathematics, History of Mathematics

This chapter examines the search for simultaneous solutions which eventually led to the creation of whole new algebraic constructs over the course of the eighteenth and nineteenth centuries. The ... More


Surveillance for Determinants of Population Health

Roy Gibson Parrish, Sharon M. McDonnell, and Patrick L. Remington

in Principles & Practice of Public Health Surveillance

Published in print:
2010
Published Online:
September 2010
ISBN:
9780195372922
eISBN:
9780199866090
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780195372922.003.0013
Subject:
Public Health and Epidemiology, Public Health

This chapter describes the application of specific principles to the practice of surveillance of health determinants, including risk behaviors, exposures, and social determinants of health. It ... More


The Social Causes of Women's Depression: A Question of Rights Violated?

Jill Astbury

in Silencing the Self Across Cultures: Depression and Gender in the Social World

Published in print:
2010
Published Online:
May 2010
ISBN:
9780195398090
eISBN:
9780199776900
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780195398090.003.0002
Subject:
Psychology, Social Psychology, Clinical Psychology

This chapter explores the relationships between women's depression and various human rights violations that cross cultures. The author contends that a human rights framework should be applied in ... More


Brain Drain and Brain Gain: The Global Competition to Attract High-Skilled Migrants

Tito Boeri, Herbert Brücker, Frédéric Docquier, and Hillel Rapoport (eds)

Published in print:
2012
Published Online:
September 2012
ISBN:
9780199654826
eISBN:
9780191742095
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199654826.001.0001
Subject:
Economics and Finance, Development, Growth, and Environmental, Financial Economics

This volume reviews the most recent research on brain drain and brain gain, producing new original results by the means of data sources specifically assembled for this study, and addressing several ... More


An Alternative Measure of Political Trust: Reconciling Theory and Practice

Joseph Gershtenson and Dennis L. Plane

in Improving Public Opinion Surveys: Interdisciplinary Innovation and the American National Election Studies

Published in print:
2011
Published Online:
October 2017
ISBN:
9780691151458
eISBN:
9781400840298
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691151458.003.0008
Subject:
Political Science, American Politics

This chapter presents a critique of the standard ANES political trust question, and proposes a percentage measure as an alternative. Given the wide-ranging consequences of political trust, there is ... More


Future trends in global public health

John Wright and John Walley

in Public Health: An action guide to improving health

Published in print:
2010
Published Online:
May 2010
ISBN:
9780199238934
eISBN:
9780191716621
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199238934.003.017
Subject:
Public Health and Epidemiology, Public Health, Epidemiology

In this century there are many challenges that still face health professionals everywhere. Some are the same as those we have dealt with in the past such as urbanization and globalization. Some will ... More


The Determinants of Highly Skilled Migration: Evidence from OECD Countries 1980–2005

Herbert Brücker, Simone Bertoli, Giovanni Facchini, Anna Maria Mayda, and Giovanni Peri

in Brain Drain and Brain Gain: The Global Competition to Attract High-Skilled Migrants

Published in print:
2012
Published Online:
September 2012
ISBN:
9780199654826
eISBN:
9780191742095
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199654826.003.0005
Subject:
Economics and Finance, Development, Growth, and Environmental, Financial Economics

The goal of this chapter is to analyse how geographical, legal, institutional, and economic factors affect the scale of immigration and the skill composition of the immigrant population. A ... More


Density operators and Wigner functions

Helmut Hofmann

in The Physics of Warm Nuclei: with Analogies to Mesoscopic Systems

Published in print:
2008
Published Online:
September 2008
ISBN:
9780198504016
eISBN:
9780191708480
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198504016.003.0019
Subject:
Physics, Nuclear and Plasma Physics

This chapter introduces density operators and matrices for many-body systems, and explains their reduction to one- and two-body densities. Starting from the Slater determinant, the latter are ... More


Functional integrals

Helmut Hofmann

in The Physics of Warm Nuclei: with Analogies to Mesoscopic Systems

Published in print:
2008
Published Online:
September 2008
ISBN:
9780198504016
eISBN:
9780191708480
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198504016.003.0024
Subject:
Physics, Nuclear and Plasma Physics

This chapter presents a short review of path integrals in quantum mechanics. This is followed by a detailed discussion of the evaluation of the semi-classical propagator, involving quadratic ... More


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